Converting radicals to mixed radicals

Converting radicals to mixed radicals

In this session, we will learn how to convert radicals to mixed radicals. When the content inside the radical sign is a number, you can do the conversion by performing prime factorization. We will also learn how to do the conversion when the content inside the radical sign is a variable.
Basic Concepts: Estimating square roots, Square and square roots, Cubic and cube roots, Evaluating and simplifying radicals
Related Concepts: Operations with radicals, Conversion between entire radicals and mixed radicals, Solving radical equations

Lessons

  • Introduction
    a)
    How to simplify radicals?

  • 1.
    Convert the following radicals to mixed radicals
    a)
    18 \sqrt{18}

    b)
    1088 \sqrt{1088}

    c)
    -245 \sqrt{45}

    d)
    (7/11)1250 \sqrt{1250}

    e)
    34162 {^4}\sqrt{162}

    f)
    25−192 {^5}\sqrt{-192}

    g)
    -429a4b8 \sqrt{29a^4b^8}

    h)
    23250a13 {^3}\sqrt{250a^{13}}

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15.
Radicals
15.1
Square and square roots
15.2
Cubic and cube roots
15.3
Evaluating and simplifying radicals
15.4
Converting radicals to mixed radicals
15.5
Converting radicals to entire radicals
15.6
Adding and subtracting radicals
15.7
Multiplying and dividing radicals
15.8
Rationalize the denominator
Transition Year Maths
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